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Finding the Fourth Proportional to 67,568.30, 93,269.31 and 40,712.30

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Solution

The fourth proportional to 67,568.30, 93,269.31 and 40,712.30 is: 56,198.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,568.30 : 93,269.31 = 40,712.30 : x
  2. Step 2: Convert to fraction form
    67,568.30/93,269.31 = 40,712.30/x
  3. Step 3: Cross multiply
    67,568.30x = 93,269.31 × 40,712.30
  4. Step 4: Simplify right side
    67,568.30x = 3,797,208,129.51
  5. Step 5: Solve for x
    x = 3,797,208,129.51/67,568.30
  6. Step 6: Final answer
    x = 56,198.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.